OpenXM_contrib2/asir2000/builtin/gr.c - diff

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Diff for /OpenXM_contrib2/asir2000/builtin/gr.c between version 1.4 and 1.5

version 1.4, 2000/04/25 04:07:58

version 1.5, 2000/05/29 08:54:45

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/builtin/gr.c,v 1.3 2000/04/20 02:20:15 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/builtin/gr.c,v 1.4 2000/04/25 04:07:58 noro Exp $ */

#include "ca.h"

#include "parse.h"

#include "base.h"

Line 33 int TP,NBP,NMP,NFP,NDP,ZR,NZR;

#define NEWDP_pairs ((DP_pairs)MALLOC(sizeof(struct dp_pairs)))

extern int (*cmpdl)();

extern int do_weyl;

void Pdp_gr_flags(), Pdp_gr_print();

void Pdp_gr_main(),Pdp_gr_mod_main(),Pdp_f4_main(),Pdp_f4_mod_main();

Line 259 DL dl1,dl2;

Line 260 DL dl1,dl2;

return 0;

}

/* b[] should be cleared */

void _dpmod_to_vect(f,at,b)

DP f;

DL *at;

Line 510 LIST *rp;

Line 513 LIST *rp;

int i;

struct order_spec ord1;

VL fv,vv,vc;

DP b,c;

DP b,c,c1;

NODE fd,fd0,fi,fi0,r,r0,t,subst,x,s,xx;

dp_fcoeffs = 0;

Line 523 LIST *rp;

Line 526 LIST *rp;

for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {

ptod(CO,vv,(P)BDY(t),&b);

_dp_mod(b,m,0,&c);

_dp_monic(c,m,&c1);

if ( c ) {

NEXTNODE(fd0,fd); BDY(fd) = (pointer)c;

NEXTNODE(fd0,fd); BDY(fd) = (pointer)c1;

}

if ( fd0 ) NEXT(fd) = 0;

Line 591 NODE f;

Line 595 NODE f;

if ( r ) {

dltod(BDY(s),nv,&tdp);

dp_subd(tdp,ps[(int)BDY(r)],&sd);

muld(CO,ps[(int)BDY(r)],sd,&f2);

muld(CO,sd,ps[(int)BDY(r)],&f2);

MKNODE(bt,f2,blist); blist = bt;

s = symb_merge(s,dp_dllist(f2),nv);

nred++;

Line 657 NODE f;

Line 661 NODE f;

return g;

}

/* initial bases are monic */

NODE gb_f4_mod(f,m)

NODE f;

int m;

Line 668 int m;

Line 674 int m;

DP h,nf,f1,f2,f21,f21r,sp,sp1,sd,sdm,tdp;

MP mp,mp0;

NODE blist,bt,nt;

DL *ht,*at;

DL *ht,*at,*st;

int **mat;

int **spmat,**redmat;

int *colstat;

int *colstat,*w;

int rank,nred,nonzero;

int rank,nred,nsp,nonzero,spcol;

struct oEGT tmp0,tmp1,tmp2,eg_split_symb,eg_split_elim;

int *indred,*isred,*ri;

extern struct oEGT eg_symb,eg_elim;

struct oEGT tmp0,tmp1,tmp2,eg_split_symb,eg_split_elim1,eg_split_elim2;

extern struct oEGT eg_symb,eg_elim1,eg_elim2;

init_eg(&eg_symb); init_eg(&eg_elim);

init_eg(&eg_symb); init_eg(&eg_elim1); init_eg(&eg_elim2);

for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {

i = (int)BDY(r);

d = updpairs(d,g,i);

Line 713 int m;

Line 720 int m;

nred++;

}

get_eg(&tmp1); add_eg(&eg_symb,&tmp0,&tmp1);

init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);

/* the first nred polys in blist are reducers */

/* row = the number of all the polys */

for ( r = blist, row = 0; r; r = NEXT(r), row++ );

/* head terms of reducers */

ht = (DL *)MALLOC(nred*sizeof(DL));

for ( r = blist, i = 0; i < nred; r = NEXT(r), i++ )

ht[i] = BDY((DP)BDY(r))->dl;

/* col = number of all terms */

for ( s = s0, col = 0; s; s = NEXT(s), col++ );

/* head terms of all terms */

at = (DL *)MALLOC(col*sizeof(DL));

for ( s = s0, i = 0; i < col; s = NEXT(s), i++ )

at[i] = (DL)BDY(s);

mat = almat(row,col);

for ( i = 0, r = blist; i < row; r = NEXT(r), i++ )

/* store coefficients separately in spmat and redmat */

_dpmod_to_vect(BDY(r),at,mat[i]);

nsp = row-nred;

colstat = (int *)MALLOC_ATOMIC(col*sizeof(int));

for ( i = 0, nonzero=0; i < row; i++ )

/* reducer matrix */

for ( j = 0; j < col; j++ )

redmat = (int **)almat(nred,col);

if ( mat[i][j] )

for ( i = 0, r = blist; i < nred; r = NEXT(r), i++ )

_dpmod_to_vect(BDY(r),at,redmat[i]);

/* XXX */

/* reduce_reducers_mod(redmat,nred,col,m); */

/* register the position of the head term */

indred = (int *)MALLOC(nred*sizeof(int));

bzero(indred,nred*sizeof(int));

isred = (int *)MALLOC(col*sizeof(int));

bzero(isred,col*sizeof(int));

for ( i = 0; i < nred; i++ ) {

ri = redmat[i];

for ( j = 0; j < col && !ri[j]; j++ );

indred[i] = j;

isred[j] = 1;

}

spcol = col-nred;

/* head terms not in ht */

st = (DL *)MALLOC(spcol*sizeof(DL));

for ( j = 0, k = 0; j < col; j++ )

if ( !isred[j] )

st[k++] = at[j];

/* spoly matrix; stored in reduced form; terms in ht[] are omitted */

spmat = almat(nsp,spcol);

w = (int *)MALLOC(col*sizeof(int));

for ( ; i < row; r = NEXT(r), i++ ) {

bzero(w,col*sizeof(int));

_dpmod_to_vect(BDY(r),at,w);

reduce_sp_by_red_mod(w,redmat,indred,nred,col,m);

for ( j = 0, k = 0; j < col; j++ )

if ( !isred[j] )

spmat[i-nred][k++] = w[j];

}

get_eg(&tmp0); add_eg(&eg_elim1,&tmp1,&tmp0);

init_eg(&eg_split_elim1); add_eg(&eg_split_elim1,&tmp1,&tmp0);

colstat = (int *)MALLOC_ATOMIC(spcol*sizeof(int));

for ( i = 0, nonzero=0; i < nsp; i++ )

for ( j = 0; j < spcol; j++ )

if ( spmat[i][j] )

nonzero++;

if ( Print )

fprintf(asir_out,"mat : %d x %d (nonzero=%f%%)...",

fprintf(asir_out,"spmat : %d x %d (nonzero=%f%%)...",

row,col,((double)nonzero*100)/(row*col));

nsp,spcol,((double)nonzero*100)/(nsp*spcol));

get_eg(&tmp1); add_eg(&eg_symb,&tmp0,&tmp1);

rank = generic_gauss_elim_mod(spmat,nsp,spcol,m,colstat);

init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);

rank = generic_gauss_elim_mod(mat,row,col,m,colstat);

get_eg(&tmp1); add_eg(&eg_elim2,&tmp0,&tmp1);

get_eg(&tmp2); add_eg(&eg_elim,&tmp1,&tmp2);

init_eg(&eg_split_elim2); add_eg(&eg_split_elim2,&tmp0,&tmp1);

init_eg(&eg_split_elim); add_eg(&eg_split_elim,&tmp1,&tmp2);

if ( Print ) {

fprintf(asir_out,"done rank = %d\n",rank,row,col);

print_eg("Symb",&eg_split_symb);

print_eg("Elim",&eg_split_elim);

print_eg("Elim1",&eg_split_elim1);

print_eg("Elim2",&eg_split_elim2);

fprintf(asir_out,"\n");

}

for ( j = 0, i = 0; j < col; j++ )

for ( j = 0, i = 0; j < spcol; j++ )

if ( colstat[j] ) {

for ( k = 0; k < nred; k++ )

mp0 = 0;

if ( !cmpdl(nv,at[j],ht[k]) )

NEXTMP(mp0,mp); mp->dl = st[j]; mp->c = STOI(1);

break;

for ( k = j+1; k < spcol; k++ )

if ( k == nred ) {

if ( !colstat[k] && spmat[i][k] ) {

/* this is a new base */

NEXTMP(mp0,mp); mp->dl = st[k];

mp0 = 0;

mp->c = STOI(spmat[i][k]);

NEXTMP(mp0,mp); mp->dl = at[j]; mp->c = STOI(1);

for ( k = j+1; k < col; k++ )

if ( !colstat[k] && mat[i][k] ) {

NEXTMP(mp0,mp); mp->dl = at[k];

mp->c = STOI(mat[i][k]);

}

NEXT(mp) = 0;

MKDP(nv,mp0,nf); nf->sugar = dm->sugar;

nh = newps_mod(nf,m);

d = updpairs(d,g,nh);

g = updbase(g,nh);

gall = append_one(gall,nh);

}

NEXT(mp) = 0;

MKDP(nv,mp0,nf); nf->sugar = dm->sugar;

nh = newps_mod(nf,m);

d = updpairs(d,g,nh);

g = updbase(g,nh);

gall = append_one(gall,nh);

i++;

}

if ( Print ) {

print_eg("Symb",&eg_symb);

print_eg("Elim",&eg_elim);

print_eg("Elim1",&eg_elim1);

print_eg("Elim2",&eg_elim2);

fflush(asir_out);

}

return g;

Line 1796 DP *r;

Line 1849 DP *r;

ttt = get_rtime()-t_00; t_m2 += ttt/dp_nt(red);

}

t_00 = get_rtime();

muld(CO,t1,shift,&t2);

muld(CO,shift,t1,&t2);

addd(CO,t,t2,&u);

tt = get_rtime(); t_m += tt-t_0;

ttt = get_rtime(); t_s += ttt-t_00;

Line 1967 DP *r;

Line 2020 DP *r;

ttt = get_rtime()-t_00; t_m2 += ttt/dp_nt(red);

t_00 = get_rtime();

muld(CO,t1,shift,&t2);

muld(CO,shift,t1,&t2);

addd(CO,t,t2,&u);

tt = get_rtime(); t_m += tt-t_0;

ttt = get_rtime(); t_s += ttt-t_00;

Line 2148 int t;

Line 2201 int t;

dl1 = DPPlength(d1); NFP += (dl-dl1); dl = dl1;

} else

dl = 1;

for ( dd = 0; d1; d1 = nd ) {

if ( !do_weyl )

nd = NEXT(d1);

for ( dd = 0; d1; d1 = nd ) {

if ( !criterion_2( d1->dp1, d1->dp2 ) ) {

nd = NEXT(d1);

NEXT(d1) = dd;

if ( !criterion_2( d1->dp1, d1->dp2 ) ) {

dd = d1;

NEXT(d1) = dd;

dd = d1;

}

else

dd = d1;

dl1 = DPPlength(dd); NDP += (dl-dl1);

get_eg(&tup1);

add_eg(&eg_up,&tup0,&tup1);

Line 2182 register int t;

Line 2238 register int t;

last = p;

dp = p->dp1 = (int)BDY(r); p->dp2 = t;

p->lcm = lcm_of_DL(CNVars, dl = psh[dp], tdl, (DL)0 );

p->sugar = (ts > (s = pss[dp] - dl->td) ? ts : s) + p->lcm->td;

#if 0

if ( do_weyl )

p->sugar = dl_weight(p->lcm);

else

#endif

p->sugar = (ts > (s = pss[dp] - dl->td) ? ts : s) + p->lcm->td;

}

return last;

}

Line 2355 DL dl1, dl2;

Line 2416 DL dl1, dl2;

for ( d1 = dl1->d, d2 = dl2->d, n = CNVars; --n >= 0; d1++, d2++ )

if ( *d1 < *d2 ) return 0;

return 1;

}

int dl_weight(dl)

DL dl;

{

int n,w,i;

n = CNVars/2;

for ( i = 0, w = 0; i < n; i++ )

w += (-dl->d[i]+dl->d[n+i]);

return w;

}

int gbcheck(f)

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